Details

Time bar (total: 4.1s)

sample32.0ms

Algorithm
intervals
Results
14.0ms343×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0358
1937
22607
35657
47627
59847
610217
711867
815527
921127
1021127

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.9b

Counts
2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b
(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.3b
(* (* y 9.0) z)
4.6b
(* (* (* y 9.0) z) t)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* add-log-exp
4×expm1-log1p-u log1p-expm1-u
2×associate-*l* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- fma-udef
Counts
4 → 69
Calls
4 calls:
4.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
1.0ms
(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
5.0ms
(* (* y 9.0) z)
7.0ms
(* (* (* y 9.0) z) t)

series287.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
166.0ms
(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms
(* (* y 9.0) z)
28.0ms
(* (* (* y 9.0) z) t)

simplify59.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0306456
11445388
25001388

prune232.0ms

Filtered
81 candidates to 55 candidates (67.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New76581
Fresh011
Picked101
Done000
Total77683

Merged error: 0.0b

Counts
83 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.2b
(* 27.0 (* a b))
0.2b
(* 9.0 (* t (* z y)))
4.7b
(* t (* z y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*l*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 79
Calls
4 calls:
5.0ms
(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
5.0ms
(* 27.0 (* a b))
7.0ms
(* 9.0 (* t (* z y)))
5.0ms
(* t (* z y))

series167.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
21.0ms
(* 27.0 (* a b))
34.0ms
(* 9.0 (* t (* z y)))
27.0ms
(* t (* z y))

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0315429
11266366
25002366

prune221.0ms

Filtered
91 candidates to 56 candidates (61.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New88391
Fresh145
Picked101
Done000
Total90797

Merged error: 0b

Counts
97 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2.0 x (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
0.0b
(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
0.2b
(* 27.0 (* a b))
4.7b
(* (* 9.0 t) (* z y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod
6×add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*l* log1p-expm1-u
2×associate-*r* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- fma-udef
Counts
4 → 70
Calls
4 calls:
1.0ms
(fma 2.0 x (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
6.0ms
(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
9.0ms
(* 27.0 (* a b))
7.0ms
(* (* 9.0 t) (* z y))

series301.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(fma 2.0 x (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
86.0ms
(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
21.0ms
(* 27.0 (* a b))
30.0ms
(* (* 9.0 t) (* z y))

simplify63.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0323476
11395407
25001406

prune201.0ms

Filtered
82 candidates to 52 candidates (63.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh066
Picked011
Done000
Total82789

Merged error: 0b

Counts
89 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.3b
(* (* y 9.0) z)
0.3b
(* (* a 27.0) b)
4.6b
(* (* (* y 9.0) z) t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*r* add-log-exp
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u
3×associate-+l+ fma-def associate-*l* *-commutative
2×sum-log
1×+-commutative associate-+l- sub-neg flip3-+ diff-log prod-diff flip-+
Counts
4 → 84
Calls
4 calls:
6.0ms
(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
5.0ms
(* (* y 9.0) z)
5.0ms
(* (* a 27.0) b)
7.0ms
(* (* (* y 9.0) z) t)

series230.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
19.0ms
(* (* y 9.0) z)
26.0ms
(* (* a 27.0) b)
27.0ms
(* (* (* y 9.0) z) t)

simplify71.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0391503
12058422
25002418

prune208.0ms

Filtered
96 candidates to 62 candidates (64.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh055
Picked011
Done011
Total967103

Merged error: 0b

Counts
103 → 7

regimes675.0ms

Accuracy

63.3% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.1b

bsearch149.0ms

Steps
ItersRangePoint
9
2.4745470336455474e-179
4.730110196137054e-174
4.1059076671150105e-174
6
-3.9216688850519745e+71
-3.742064887211351e+70
-4.2584306516392116e+70

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05325
15325

end0.0ms

sample871.0ms

Algorithm
intervals
Results
474.0ms11029×body80valid